Answer:
Step-by-step explanation:
Standard form is written this way:
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get: .
Answer:
4π
Step-by-step explanation:
-A circle subtends a total angle of 360 ° from its center.
-The length of an arc is directly proportional to the angle it subtends from the circle's center.
#The arc's length can therefore be calculated as:
Hence, the length of the arc is 4π
Answer:
1.31
Step-by-step explanation:
= ^2 x
^3 x 2.48
= 1.31 x 0.40 x 2.48
= 0.524 x 2.48
= 1.31
:)
Answer was verified and rounded
Note that
Answer:
Mary's risk premium is $0.9375
Step-by-step explanation:
Mary's utility function,
Mary's initial wealth = $100
The gamble has a 50% probability of raising her wealth to $115 and a 50% probability of lowering it to $77
Expected wealth of Mary,
= (0.5 * $115) + (0.5 * $77)
= 57.5 + 38.5
= $96
The expected value of Mary's wealth is $96
Calculate the expected utility (EU) of Mary:-
The expected utility of Mary is $9.75
Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where
U(EW - P) is equal to Mary's expected utility from the risky gamble.
U(EW - P) = EU
U(94 - P) = 9.63
Square root (94 - P) = 9.63
If Mary's risk premium is P, the expected utility will be given by the formula:
Mary's risk premium is $0.9375